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Cost Optimisation through Modified Vogel’s Approximation Method for Unbalanced Transportation Problem


Affiliations
1 Department of Management Studies, Toc H Institute of Science & Technology, Kerala, India
2 Toc H Institute of Science & Technology, Arakkunnam, Ernakulam, Kerala, India
     

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For any manufacturing firm, transportation cost could be a considerable part of the logistics cost. This along with the mounting fuel cost is ultimately passed on to the customers. With rising competition, firms are forced to find out methods of optimising the transportation cost thereby reducing the total cost. There are many methods available in solving a transportation method. However, the traditional Vogel’s approximation method has many drawbacks when dealing with situations where the supply and demand are unbalanced. This study examines the effectiveness of using the modified Vogel’s method when compared to the traditional approach with the help of a case study. The study found that the use of the proposed method will bring in considerable cost reduction in transportation thereby increasing the profitability of the firm. Moreover the proposed method is easy to implement and will be highly beneficial for the decision makers.

Keywords

Transportation Problem, Vogel’s Approximation Method, Initial Solution, Modified VAM.
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  • Adlakha, A., & Kowalski, K. (1999). An alternative solution algorithm for certain transportation probems. International Journal of Mathematical Education in Science and Technology, 719-728.
  • Adlakha, V., & Kowalski, K. (2006). Solving transportaion problem with mixed constraints. International Journal of Mnagement Science and Engineering, 47-52.
  • Balakrishnan, N. (1990). Modified Vogel’s approximation method for the unbalanced transportation problem. Application Mathemetic Letter, 3(2), 9-11.
  • Das, U. K., Babu, A., Khan, A. R., & Uddin, S. (2014). Advanced Vogel’s approximation method (AVAM): A new approach to determine penalty cost for better feasible solution of transportation problem. International Journal of Engineering Research & Technology (IJERT), 3, 182-187.
  • Edokpia, R. O., & Ohikhuare, K. O. (2012, October 5). Transportation cost minimization of a manufacturing firm using linear programming technique. Advanced Materials Research, 367, 685-695.
  • Goyal, S. K. (1984). Improving VAM for unbalanced transportation problems. Journal of the Operational Research Society, 35(12), 1113-1114.
  • Korukoglu, S., & Balli, S. (2011). Mathematical and Computational Applications, 16(2), 370-381.
  • Kumar, S. K., Lal, I. B., & Varma, S. P. (2011). An alternative method for obtaining initial feasible solution to a transportation problem and test for optimality. International Journal of Computer Science and Communication, 2(2), 455-457.
  • La Londe, B. J., & Masters, J. M. (1994). Emerging logistics strategies: Blueprints for the next century. International Journal of Physical Distribution & Logistics Management, 24(7), 35-47.
  • Mathirajan, M., & Meenakshi, B. (2004). Experimental analysis of some variants of Vogel’s approximation method. AsiarPaicific Journal of Operational Research, 21(4), 447-462.
  • Morash, E. A., & Cinton, S. R. (1997). The role of transportation capabilities in international supply chain management. Transportation Journal, 36(3), 5-17.
  • P. Jonsson. (2008). Logistics and supply chain management. McGraw Hill.
  • Pandian, P., & Natarajan, G. (2010). A new method for finding an optimal solution for. International Journal of Mathematical Sciences & Engineering Applications, (IJMSEA), 59-65.
  • Quddoos, A., Javaid, S., & Khalid, M. M. (2012). A new method for finding an optimal solution for transportation method. International Journal on Computer Science and Engineering (IJCSE), 4(7), 1271-1274.
  • Ramakrishnan, C. S. (1988). An improvement to goyal’s modified VAM for the unbalanced transportation problem. Journal of the Operational Research Society, 39(6), 609-610.
  • Sharma, J. K. (2013). Operations research: Theory and application. Haryana: Macmillan Publishers India Ltd.
  • Shimshak, D., Kaslik, J. A., & Barclay, T. (2016). A modification of Vogel’s approximation method through the use of heuristics. INFOR: Information Systems and Operations Research, 259-263.
  • Shore, H. H. (1970). The transportation problem and the Vogel’s approximation method. Journal of Decision Science Institute, 441-457.
  • Singh, S., Dubey, G. C., & Shrivastava, R. (2012). Optimization and analysis of some variants through Vogel’s approximation method. IOSR Journal of Engineering (IOSRJEN), 20-30.
  • Sultan, A. (1988). Heuristic for finding an initial basic feasible solution in transportation problems. Opsearch, 25, 197-199.
  • Sultan, A., & Goyal, S. (1988). Resolution of degeneracy in transportation problems. Journal of the Operational Research Society, 39(4), 411-413.
  • Ullah, M. W., Uddin, M. A., & Kawser, R. (2016). A modified Vogel’s approximation method for obtaining a good primal solution of transportation problems. Annals of Pure and Applied Mathematics, 63-71, 11(1).

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  • Cost Optimisation through Modified Vogel’s Approximation Method for Unbalanced Transportation Problem

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Authors

Pearly Saira Chacko
Department of Management Studies, Toc H Institute of Science & Technology, Kerala, India
Hareesh N. Ramanathan
Department of Management Studies, Toc H Institute of Science & Technology, Kerala, India
Sherin Saji
Toc H Institute of Science & Technology, Arakkunnam, Ernakulam, Kerala, India

Abstract


For any manufacturing firm, transportation cost could be a considerable part of the logistics cost. This along with the mounting fuel cost is ultimately passed on to the customers. With rising competition, firms are forced to find out methods of optimising the transportation cost thereby reducing the total cost. There are many methods available in solving a transportation method. However, the traditional Vogel’s approximation method has many drawbacks when dealing with situations where the supply and demand are unbalanced. This study examines the effectiveness of using the modified Vogel’s method when compared to the traditional approach with the help of a case study. The study found that the use of the proposed method will bring in considerable cost reduction in transportation thereby increasing the profitability of the firm. Moreover the proposed method is easy to implement and will be highly beneficial for the decision makers.

Keywords


Transportation Problem, Vogel’s Approximation Method, Initial Solution, Modified VAM.

References